39084 has 12 divisors (see below), whose sum is σ = 91224. Its totient is φ = 13024.

The previous prime is 39079. The next prime is 39089. The reversal of 39084 is 48093.

It is an interprime number because it is at equal distance from previous prime (39079) and next prime (39089).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (39089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1617 + ... + 1640.

It is an arithmetic number, because the mean of its divisors is an integer number (7602).

2³⁹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

39084 is an abundant number, since it is smaller than the sum of its proper divisors (52140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45612).

39084 is a wasteful number, since it uses less digits than its factorization.

39084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39084 is about 197.6967374541. The cubic root of 39084 is about 33.9364441301.

Subtracting from 39084 its sum of digits (24), we obtain a triangular number (39060 = T₂₇₉).

Subtracting 39084 from its reverse (48093), we obtain a palindrome (9009).

It can be divided in two parts, 390 and 84, that added together give a palindrome (474).

The spelling of 39084 in words is "thirty-nine thousand, eighty-four".